| Issue |
ESAIM: M2AN
Volume 39, Number 1, January-February 2005
|
|
|---|---|---|
| Page(s) | 79 - 108 | |
| DOI | https://doi.org/10.1051/m2an:2005002 | |
| Published online | 15 March 2005 | |
Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
1
Universidad de Chile, Facultad de
Ciencias Físicas y Matemáticas, Centro de Modelamiento Matemático, UMI 2807 CNRS-UChile, Casilla
170/3, Correo 3, Santiago, Chile and Universidad del
Bío-Bío, Facultad de Ciencias, Departamento de Ciencias
Básicas, Casilla 447, Campus Fernando May, Chillán,
Chile.
jortega@dim.uchile.cl
2
Institut Elie Cartan, Université Henri Poincaré Nancy 1,
BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France. rosier@iecn.u-nancy.fr; takahash@iecn.u-nancy.fr
Received:
8
January
2004
Revised:
23
November
2004
In this paper we investigate the motion of a rigid ball in an
incompressible perfect fluid occupying 
.
We prove the global in time existence and the uniqueness of
the classical solution for this fluid-structure problem. The proof relies
mainly on weighted estimates for the vorticity associated with
the strong solution of a fluid-structure problem
obtained by incorporating some dissipation.
Mathematics Subject Classification: 35Q35 / 76B03 / 76B99
Key words: Euler equations / fluid-rigid body interaction / exterior domain / classical solutions.
© EDP Sciences, SMAI, 2005
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